Bronx prosecutors are giving up their fight in the case of a man and woman wrongly convicted in the notorious robbery-slaying of a cabby — and may also drop charges against three other suspects in the case.

Eric Glisson, 37, and Cathy Watkins, 44, were freed in October after spending 17 years in prison in the January 19, 1995 slaying of cabby Baithe Diop. They will be able to remove their ankle monitoring bracelets after a hearing next week.

In court papers filed today, Bronx DA Robert Johnson’s office admitted that new evidence uncovered in the case last year may also clear the other three suspects — Devon Ayers, Michael Cosme and Carlos Perez. The DA has agreed on a near hearing to hear evidence in their cases.

Two gang-bangers admitted to Diop’s killing in an unrelated federal investigation, and have already pleaded guilty to a federal robbery charge in his death. They can’t be prosecuted further.

The Bronx DA is holding the line for now on the convictions of Ayers, Cosme and Perez in the slaying of Denise Raymond, a Fed Ex executive found dead in her Soundview home three days before Diop was killed.

But the trio also hopes for a new hearing in that case as well. They said fresh evidence shows Raymond was murdered by an ex-boyfriend, who is now deceased.